煤与瓦斯突出过程的尖点突变研究

为了分析引起煤与瓦斯突出的因素，建立了煤岩体的能量模型，然后采用尖点突变理论分析构建了煤与瓦斯突出的尖点突变模型；研究了突变控制变量，对煤与瓦斯突出过程进行了阐述．煤的变形潜能、煤体的瓦斯内能、煤的破碎功和被破碎煤的移动功对煤层突出与否起主要作用．如果煤层中有煤的软分层存在，那么煤层的破碎功是较小的，在同等条件下，煤层更容易发生突出．该研究对煤与瓦斯突出灾害预测与防治作参考．

Cusp catastrophe in coal and gas outburst process

The coal rock energy model is established in order to analyze the factor that causes the outburst of coal and gas, and then the cusp catastrophe models of coal and gas outburst are established by using mutation theory. The process of coal and gas outburst is elaborated based on analyzing variable quantity to the mutation control of catastrophe. The potential anamorphic energy of coal, the inner energy of firedamp, the broking energy of coal, and the movement energy of broken coal play vital roles in deciding whether the coal and gas will burst out or not. If the soft layer of coal exists in the coal seams, the broking energy of coal is relatively small, so it is prone to the outburst of coal and gas under the same conditions. The research results have important denotation for the disaster prediction and prevention of coal and gas outburst.